Ordinary Differential Equations For Engineers

Author : Wei-Chau Xie
Publisher : Cambridge University Press
Page : 567 pages
File Size : 44,5 Mb
Release : 2010-04-26
Category : Technology & Engineering
ISBN : 9781139488167

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Differential Equations for Engineers by Wei-Chau Xie Pdf

Xie presents a systematic introduction to ordinary differential equations for engineering students and practitioners. Mathematical concepts and various techniques are presented in a clear, logical, and concise manner. Various visual features are used to highlight focus areas. Complete illustrative diagrams are used to facilitate mathematical modeling of application problems. Readers are motivated by a focus on the relevance of differential equations through their applications in various engineering disciplines. Studies of various types of differential equations are determined by engineering applications. Theory and techniques for solving differential equations are then applied to solve practical engineering problems. A step-by-step analysis is presented to model the engineering problems using differential equations from physical principles and to solve the differential equations using the easiest possible method. This book is suitable for undergraduate students in engineering.

Author : Ali Ümit Keskin
Publisher : Springer
Page : 786 pages
File Size : 41,6 Mb
Release : 2018-09-01
Category : Technology & Engineering
ISBN : 9783319952437

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Ordinary Differential Equations for Engineers by Ali Ümit Keskin Pdf

This monograph presents teaching material in the field of differential equations while addressing applications and topics in electrical and biomedical engineering primarily. The book contains problems with varying levels of difficulty, including Matlab simulations. The target audience comprises advanced undergraduate and graduate students as well as lecturers, but the book may also be beneficial for practicing engineers alike.

Author : David V. Kalbaugh
Publisher : CRC Press
Page : 453 pages
File Size : 44,9 Mb
Release : 2017-09-01
Category : Mathematics
ISBN : 9781498798822

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Differential Equations for Engineers by David V. Kalbaugh Pdf

This book surveys the broad landscape of differential equations, including elements of partial differential equations (PDEs), and concisely presents the topics of most use to engineers. It introduces each topic with a motivating application drawn from electrical, mechanical, and aerospace engineering. The text has reviews of foundations, step-by-step explanations, and sets of solved problems. It fosters students’ abilities in the art of approximation and self-checking. The book addresses PDEs with and without boundary conditions, which demonstrates strong similarities with ordinary differential equations and clear illustrations of the nature of solutions. Furthermore, each chapter includes word problems and challenge problems. Several extended computing projects run throughout the text.

Author : Jiri Lebl
Publisher : Unknown
Page : 468 pages
File Size : 43,6 Mb
Release : 2019-11-13
Category : Electronic
ISBN : 1706230230

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Notes on Diffy Qs by Jiri Lebl Pdf

Version 6.0. An introductory course on differential equations aimed at engineers. The book covers first order ODEs, higher order linear ODEs, systems of ODEs, Fourier series and PDEs, eigenvalue problems, the Laplace transform, and power series methods. It has a detailed appendix on linear algebra. The book was developed and used to teach Math 286/285 at the University of Illinois at Urbana-Champaign, and in the decade since, it has been used in many classrooms, ranging from small community colleges to large public research universities. See https: //www.jirka.org/diffyqs/ for more information, updates, errata, and a list of classroom adoptions.

Author : William E. Boyce,Richard C. DiPrima
Publisher : John Wiley & Sons
Page : 344 pages
File Size : 46,5 Mb
Release : 1970
Category : Mathematics
ISBN : UOM:39015015701512

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Introduction to Differential Equations by William E. Boyce,Richard C. DiPrima Pdf

Author : Bill Goodwine
Publisher : Springer Science & Business Media
Page : 762 pages
File Size : 42,8 Mb
Release : 2010-11-11
Category : Mathematics
ISBN : 9781441979193

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Engineering Differential Equations by Bill Goodwine Pdf

This book is a comprehensive treatment of engineering undergraduate differential equations as well as linear vibrations and feedback control. While this material has traditionally been separated into different courses in undergraduate engineering curricula. This text provides a streamlined and efficient treatment of material normally covered in three courses. Ultimately, engineering students study mathematics in order to be able to solve problems within the engineering realm. Engineering Differential Equations: Theory and Applications guides students to approach the mathematical theory with much greater interest and enthusiasm by teaching the theory together with applications. Additionally, it includes an abundance of detailed examples. Appendices include numerous C and FORTRAN example programs. This book is intended for engineering undergraduate students, particularly aerospace and mechanical engineers and students in other disciplines concerned with mechanical systems analysis and control. Prerequisites include basic and advanced calculus with an introduction to linear algebra.

Author : Morris Tenenbaum,Harry Pollard
Publisher : Courier Corporation
Page : 852 pages
File Size : 47,8 Mb
Release : 1985-10-01
Category : Mathematics
ISBN : 9780486649405

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Ordinary Differential Equations by Morris Tenenbaum,Harry Pollard Pdf

Skillfully organized introductory text examines origin of differential equations, then defines basic terms and outlines the general solution of a differential equation. Subsequent sections deal with integrating factors; dilution and accretion problems; linearization of first order systems; Laplace Transforms; Newton's Interpolation Formulas, more.

Author : Allan Struthers,Merle Potter
Publisher : Springer
Page : 514 pages
File Size : 50,9 Mb
Release : 2019-07-31
Category : Technology & Engineering
ISBN : 9783030205065

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Differential Equations by Allan Struthers,Merle Potter Pdf

This book is designed to serve as a textbook for a course on ordinary differential equations, which is usually a required course in most science and engineering disciplines and follows calculus courses. The book begins with linear algebra, including a number of physical applications, and goes on to discuss first-order differential equations, linear systems of differential equations, higher order differential equations, Laplace transforms, nonlinear systems of differential equations, and numerical methods used in solving differential equations. The style of presentation of the book ensures that the student with a minimum of assistance may apply the theorems and proofs presented. Liberal use of examples and homework problems aids the student in the study of the topics presented and applying them to numerous applications in the real scientific world. This textbook focuses on the actual solution of ordinary differential equations preparing the student to solve ordinary differential equations when exposed to such equations in subsequent courses in engineering or pure science programs. The book can be used as a text in a one-semester core course on differential equations, alternatively it can also be used as a partial or supplementary text in intensive courses that cover multiple topics including differential equations.

Author : Mayer Humi,William Miller
Publisher : Springer Science & Business Media
Page : 451 pages
File Size : 50,6 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461238324

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Second Course in Ordinary Differential Equations for Scientists and Engineers by Mayer Humi,William Miller Pdf

The world abounds with introductory texts on ordinary differential equations and rightly so in view of the large number of students taking a course in this subject. However, for some time now there is a growing need for a junior-senior level book on the more advanced topics of differential equations. In fact the number of engineering and science students requiring a second course in these topics has been increasing. This book is an outgrowth of such courses taught by us in the last ten years at Worcester Polytechnic Institute. The book attempts to blend mathematical theory with nontrivial applications from varipus disciplines. It does not contain lengthy proofs of mathemati~al theorems as this would be inappropriate for its intended audience. Nevertheless, in each case we motivated these theorems and their practical use through examples and in some cases an "intuitive proof" is included. In view of this approach the book could be used also by aspiring mathematicians who wish to obtain an overview of the more advanced aspects of differential equations and an insight into some of its applications. We have included a wide range of topics in order to afford the instructor the flexibility in designing such a course according to the needs of the students. Therefore, this book contains more than enough material for a one semester course.

Author : James M. Hill
Publisher : CRC Press
Page : 232 pages
File Size : 50,5 Mb
Release : 1992-03-17
Category : Mathematics
ISBN : 0849344425

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Differential Equations and Group Methods for Scientists and Engineers by James M. Hill Pdf

Differential Equations and Group Methods for Scientists and Engineers presents a basic introduction to the technically complex area of invariant one-parameter Lie group methods and their use in solving differential equations. The book features discussions on ordinary differential equations (first, second, and higher order) in addition to partial differential equations (linear and nonlinear). Each chapter contains worked examples with several problems at the end; answers to these problems and hints on how to solve them are found at the back of the book. Students and professionals in mathematics, science, and engineering will find this book indispensable for developing a fundamental understanding of how to use invariant one-parameter group methods to solve differential equations.

Author : Dominic Jordan,Peter Smith
Publisher : OUP Oxford
Page : 540 pages
File Size : 55,7 Mb
Release : 2007-08-24
Category : Mathematics
ISBN : 9780191525995

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Nonlinear Ordinary Differential Equations by Dominic Jordan,Peter Smith Pdf

This is a thoroughly updated and expanded 4th edition of the classic text Nonlinear Ordinary Differential Equations by Dominic Jordan and Peter Smith. Including numerous worked examples and diagrams, further exercises have been incorporated into the text and answers are provided at the back of the book. Topics include phase plane analysis, nonlinear damping, small parameter expansions and singular perturbations, stability, Liapunov methods, Poincare sequences, homoclinic bifurcation and Liapunov exponents. Over 500 end-of-chapter problems are also included and as an additional resource fully-worked solutions to these are provided in the accompanying text Nonlinear Ordinary Differential Equations: Problems and Solutions, (OUP, 2007). Both texts cover a wide variety of applications whilst keeping mathematical prequisites to a minimum making these an ideal resource for students and lecturers in engineering, mathematics and the sciences.

Author : R. Grimshaw
Publisher : Routledge
Page : 276 pages
File Size : 46,8 Mb
Release : 2017-10-19
Category : Mathematics
ISBN : 9781351428088

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Nonlinear Ordinary Differential Equations by R. Grimshaw Pdf

Ordinary differential equations have long been an important area of study because of their wide application in physics, engineering, biology, chemistry, ecology, and economics. Based on a series of lectures given at the Universities of Melbourne and New South Wales in Australia, Nonlinear Ordinary Differential Equations takes the reader from basic elementary notions to the point where the exciting and fascinating developments in the theory of nonlinear differential equations can be understood and appreciated. Each chapter is self-contained, and includes a selection of problems together with some detailed workings within the main text. Nonlinear Ordinary Differential Equations helps develop an understanding of the subtle and sometimes unexpected properties of nonlinear systems and simultaneously introduces practical analytical techniques to analyze nonlinear phenomena. This excellent book gives a structured, systematic, and rigorous development of the basic theory from elementary concepts to a point where readers can utilize ideas in nonlinear differential equations.

Author : Jan Awrejcewicz
Publisher : Springer
Page : 621 pages
File Size : 52,6 Mb
Release : 2014-09-17
Category : Mathematics
ISBN : 9783319076591

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Ordinary Differential Equations and Mechanical Systems by Jan Awrejcewicz Pdf

This book applies a step-by-step treatment of the current state-of-the-art of ordinary differential equations used in modeling of engineering systems/processes and beyond. It covers systematically ordered problems, beginning with first and second order ODEs, linear and higher-order ODEs of polynomial form, theory and criteria of similarity, modeling approaches, phase plane and phase space concepts, stability optimization and ending on chaos and synchronization. Presenting both an overview of the theory of the introductory differential equations in the context of applicability and a systematic treatment of modeling of numerous engineering and physical problems through linear and non-linear ODEs, the volume is self-contained, yet serves both scientific and engineering interests. The presentation relies on a general treatment, analytical and numerical methods, concrete examples and engineering intuition. The scientific background used is well balanced between elementary and advanced level, making it as a unique self-contained source for both theoretically and application oriented graduate and doctoral students, university teachers, researchers and engineers of mechanical, civil and mechatronic engineering.

Author : S. Chakraverty,Susmita Mall
Publisher : CRC Press
Page : 156 pages
File Size : 52,9 Mb
Release : 2017-07-20
Category : Mathematics
ISBN : 9781351651318

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Artificial Neural Networks for Engineers and Scientists by S. Chakraverty,Susmita Mall Pdf

Differential equations play a vital role in the fields of engineering and science. Problems in engineering and science can be modeled using ordinary or partial differential equations. Analytical solutions of differential equations may not be obtained easily, so numerical methods have been developed to handle them. Machine intelligence methods, such as Artificial Neural Networks (ANN), are being used to solve differential equations, and these methods are presented in Artificial Neural Networks for Engineers and Scientists: Solving Ordinary Differential Equations. This book shows how computation of differential equation becomes faster once the ANN model is properly developed and applied.

Author : Andrei D. Polyanin
Publisher : CRC Press
Page : 800 pages
File Size : 49,6 Mb
Release : 2001-11-28
Category : Mathematics
ISBN : 9781420035322

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Handbook of Linear Partial Differential Equations for Engineers and Scientists by Andrei D. Polyanin Pdf

Following in the footsteps of the authors' bestselling Handbook of Integral Equations and Handbook of Exact Solutions for Ordinary Differential Equations, this handbook presents brief formulations and exact solutions for more than 2,200 equations and problems in science and engineering. Parabolic, hyperbolic, and elliptic equations with